QUANT QUIZ ON D.I.

Directions (1-4): Answer the questions based on the following information:

Two trains A and B start form the same station simultaneously in the same direction. The table below gives the distance travelled by the two trains in various hours after they started.

Hour	Distance travelled (in Km)
	A	B
1st	20	25
2nd	30	40
3rd	20	35
4th	15	25
5th	25	35
6th	15	10
7th	25	25
8th	35	15
9th	20	25
10th	30	45

1.    What is the distance between A and B at the end of the 8^th hour?

         (1) 25 Km                          (2) 20 Km

         (3) 15 Km                          (4) 12 Km

         (5) None of these

     2.    A’s average speed during the first 5 hours is:

         (1) 14 km/hr                      (2) 22 km/hr   

         (3) 26 km/hr                      (4) 30 km/hr   

        (5) None of these

    3.    The distance between A and B is maximum at the end of:

        (1) 2 hrs                             (2) 3 hrs          

        (3) 4 hrs                             (4) 5 hrs          

        (5) None of these 

    4.    The ratio of A’s speed during the first 5 hr to the last 5 hr is:

        (1) 20 : 21                          (2) 15 : 22       

        (3) 22 : 25                          (4) 25 : 22       

        (5) None of these

Directions—(5–9): What will come in the place of the question mark (?) in the following number series?

5.    5, 9,  18,  34,  59,  95

(1) 272                   (2) 186             (3) 140

(4) 144                   (5) None of these

6.    1200,  480, 192,  76.8,  30.72,  (?)

(1) 15.91                (2)18.321         (3) 12.288

(4) 12.234              (5) None of these

7.    13, 14, 30, 93, 376, (?)

(1) 1848                 (2) 1125           (3)1150

(4) 1885                 (5) None of these

8.    505,  528,  574,  643, 735 , (?)

(1) 850                   (2) 888             (3) 812

(4) 618                   (5) None of these

9.    8, 18, 11, 24, 14,  (?)

(1) 9                       (2)30                (3) 32  

(4) 4                       (5) None of these

Answers with Solutions (1-4):

1.          (1): total distance travelled by B at the end of 8^th hour = 210 km and by A =185 km,

Distance between A and B = 25 km.

2.          (2): Average speed = Total distance / Total time = 11/25 = 22kmph

3.            (4): It is maximum at the end of 5^thhour.          

                                   

4.          (3): A’s speed during first 5 hrs = 22 kmph

A’s speed during last 5 hours =125/5 = 25kmph.

Ratio: 22:25

Answers with Solutions (5-9):

5. (4) 5,     9,    18,    34,      59,           95     (144)

             +4        +9        +16  +25      +3     +49          

6. (3) 1200,      480,       192,        76.8,      30.72,        (12.288)

                x 2/5           x 2/5      x 2/5      x 2/5       x 2/5

7. (4) 13,        14,           30,        93,         376,             (1885)  

             X1+1     x 2 + 2    x 3 + 3     x4 + 4    x5 + 5

8. (1) 505, 528,               574, 643,       735,        (850)

                  +23      +46      +69         +92       +115

9. (2)   8,     18,           11,         24,          14,           (30)

               X 2+ 2    ÷2 + 2   X2+2       ÷2 + 2    X 2+ 2